Can someone help me with this vector proof?

Let V be the set of all complex-valued functions f on the real line such that (for all t in R)

f(-t)=f(t) bar (the bar denotes complex conjugation)

Show that V, with the operations

(f+g)(t) = f(t) + g(t)

(cf)(t) = cf(t)

is a vector space over the field of real numbers.